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Realizability of Polytopes as a Low Rank Matrix Completion Problem
Realizability of Polytopes Low Rank Matrix Completion Problem
2011/2/22
Here we show that the problem of realizing a polytope with specified combinatorics is equivalent to a low rank matrix completion problem.This is comparable to known results reducing realizability to s...
Calibration for Ultrasound Breast Tomography Using Matrix Completion
Calibration Ultrasound Breast Tomography Matrix Completion
2011/3/3
We study the calibration problem in circular ultrasound tomography devices for breast imaging, where the sensor positions deviate from the circumference of a perfect circle.
Restricted strong convexity and weighted matrix completion: Optimal bounds with noise
Restricted strong convexity weighted matrix completion Optimal bounds with noise
2010/12/3
We consider the matrix completion problem under a form of row/column weighted entrywise sampling, including the case of uniform entrywise sampling as a special case.We analyze the associated random ob...